ChatGPT for programming

[Massimo Gnerucci]

GPT-4 answer:

Quote:To find if there are integers n and m such that 2^n = 10^m, let's try to simplify the equation.
We know that 10^m = 2^m * 5^m. Therefore, the equation becomes:
2^n = 2^m * 5^m
Now, let's divide both sides of the equation by 2^m:
2^(n-m) = 5^m
Since the left side of the equation is a power of 2 and the right side is a power of 5, they can only be equal if both sides are equal to 1. In other words, n-m = 0 and m = 0. This implies that n = 0.
So, there is only one solution for n and m:
n = 0
m = 0
In this case, 2^0 = 10^0 = 1.